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Finding the Fourth Proportional to 252.75, 349.13 and 203.81

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Solution

The fourth proportional to 252.75, 349.13 and 203.81 is: 281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.75 : 349.13 = 203.81 : x
  2. Step 2: Convert to fraction form
    252.75/349.13 = 203.81/x
  3. Step 3: Cross multiply
    252.75x = 349.13 × 203.81
  4. Step 4: Simplify right side
    252.75x = 71,155.17
  5. Step 5: Solve for x
    x = 71,155.17/252.75
  6. Step 6: Final answer
    x = 281.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.